Abstract.
We study multilinear differential operators on a space of Hermitian Jacobi forms as well as on a space of Hermitian modular forms of degree 2. First we define a heat operator and construct multilinear differential operators on a space of Hermitian Jacobi forms of degree 2. As a special case of these operators, we also study Rankin-Cohen type differential operators on a space of Hermitian Jacobi forms. And we construct multilinear differential operators on a space of Hermitian modular forms of degree 2 as an application of multilinear differential operators on Hermitian Jacobi forms.
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Eingegangen am 28. 12. 1999
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Kim, H. Differential operators on Hermitian Jacobi forms. Arch. Math. 79, 208–215 (2002). https://doi.org/10.1007/s00013-002-8306-1
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DOI: https://doi.org/10.1007/s00013-002-8306-1